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Finding the Fourth Proportional to 20,564.93, 30,842.62 and 6,522.33

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Solution

The fourth proportional to 20,564.93, 30,842.62 and 6,522.33 is: 9,781.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.93 : 30,842.62 = 6,522.33 : x
  2. Step 2: Convert to fraction form
    20,564.93/30,842.62 = 6,522.33/x
  3. Step 3: Cross multiply
    20,564.93x = 30,842.62 × 6,522.33
  4. Step 4: Simplify right side
    20,564.93x = 201,165,729.40
  5. Step 5: Solve for x
    x = 201,165,729.40/20,564.93
  6. Step 6: Final answer
    x = 9,781.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.